Finding the Third Proportional to 2,385 and 5,655.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385 : 5,655.38 = 5,655.38 : x
2. Step 2: Convert to fraction form
   2,385/5,655.38 = 5,655.38/x
3. Step 3: Cross multiply
   2,385x = 5,655.38 × 5,655.38
4. Step 4: Simplify right side
   2,385x = 31,983,266.39
5. Step 5: Solve for x
   x = 31,983,266.39/2,385
6. Step 6: Final answer
   x = 13,410.17